Given numbers are 728,720,350,470

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 728,720,350,470 is 15397200.

Find LCM of 728,720,350,470 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 5 x 7 x 13 x 18 x 5 x 47 = 15397200

Therefore, the lowest common multiple of 728,720,350,470 is 15397200.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

728 x 720 x 350 x 470 = 86224320000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

470 : 1, 2, 5, 10, 47, 94, 235, 470

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,720,350,470, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

720:2x 2x 2x 2x 3x 3x 5

350:2x 5x 5x 7

470:2x 5x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 5x 5x 7 = 2800

Therefore, the value for common factors is 2800.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 86224320000/(2x2800)

LCM = 86224320000/5600

LCM = 15397200

Thus, we can understand that the LCM of 728,720,350,470 is 15397200.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 262, 798, 289, 784
• LCM of 444, 546, 784, 707
• LCM of 972, 231, 224, 288
• LCM of 400, 182, 972, 878
• LCM of 935, 298, 910, 357

1. What is the LCM of 728, 720, 350, 470?

Answer: LCM of 728, 720, 350, 470 is 15397200.

2. How to calculate the LCM of 728, 720, 350, 470?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 728, 720, 350, 470.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.